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2006.55: Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations

2006.55: Howard Elman, Victoria Howle, John Shadid, David Silvester and Ray Tuminaro (2007) Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM Journal on Scientific Computing, 30 (1). pp. 290-311. ISSN 1095-7197

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DOI: 10.1137/060655742

Abstract

This paper introduces two stabilization schemes for the Least Squares Commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth and Tuminaro [SIAM J. Sci. Comput., 27, 2006, pp. 1651–1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, and it has the advantage of being defined from strictly algebraic considerations. It has previously been limited in its applicability to div-stable discretizations of the Navier-Stokes equations. This paper shows how to extend the same methodology to stabilized low-order mixed finite element approximation methods.

Item Type:Article
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Copyright © 2007 SIAM. All rights reserved.

Uncontrolled Keywords:preconditioning, Navier-Stokes, iterative algorithms
Subjects:MSC 2000 > 65 Numerical analysis
MIMS number:2006.55
Deposited By:professor david silvester
Deposited On:04 January 2008

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